{"id":27158,"date":"2024-10-27T13:44:06","date_gmt":"2024-10-27T13:44:06","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=27158"},"modified":"2024-11-26T07:21:09","modified_gmt":"2024-11-26T07:21:09","slug":"%ed%8c%8c%ec%9d%b4%ec%8d%ac-%ec%bd%94%eb%94%a9%ed%85%8c%ec%8a%a4%ed%8a%b8-%ea%b0%95%ec%a2%8c-%ec%9e%84%ea%b3%84-%ea%b2%bd%eb%a1%9c-%ea%b5%ac%ed%95%98%ea%b8%b0","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/27158\/","title":{"rendered":"\ud30c\uc774\uc36c \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc784\uacc4 \uacbd\ub85c \uad6c\ud558\uae30"},"content":{"rendered":"

<\/p>\n

\ubcf8 \uac15\uc88c\uc5d0\uc11c\ub294 \uc784\uacc4 \uacbd\ub85c \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud55c \uc54c\uace0\ub9ac\uc998\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc784\uacc4 \uacbd\ub85c(Critical Path)\ub294 \ud504\ub85c\uc81d\ud2b8 \uad00\ub9ac\uc5d0\uc11c \uac01 \uc791\uc5c5\uc758 \uc2dc\uc791 \ubc0f \uc644\ub8cc \uc2dc\uc810\uc744 \ubcf4\uc5ec\uc8fc\ub294 \uac83\uc73c\ub85c, \uc804\uccb4 \ud504\ub85c\uc81d\ud2b8\ub97c \uc644\ub8cc\ud558\ub294 \ub370 \uac00\uc7a5 \uae38\uac8c \uac78\ub9ac\ub294 \uacbd\ub85c\ub97c \uc758\ubbf8\ud569\ub2c8\ub2e4. \uc5d4\uc9c0\ub2c8\uc5b4\ub9c1 \ubc0f \uc18c\ud504\ud2b8\uc6e8\uc5b4 \ud504\ub85c\uc81d\ud2b8\uc5d0\uc11c \ub9e4\uc6b0 \uc911\uc694\ud55c \uac1c\ub150\uc774\uba70, \uc2e4\uc81c \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c\ub3c4 \uc790\uc8fc \ucd9c\uc81c\ub418\ub294 \uc8fc\uc81c \uc911 \ud558\ub098\uc785\ub2c8\ub2e4.<\/p>\n

\ubb38\uc81c \uc815\uc758<\/h2>\n

\ub2e4\uc74c\uacfc \uac19\uc740 \uad6c\uc870\uc758 \ubc29\ud5a5 \uadf8\ub798\ud504\uac00 \uc8fc\uc5b4\uc9c8 \ub54c, \uc784\uacc4 \uacbd\ub85c\ub97c \uad6c\ud558\ub294 \ubb38\uc81c\ub97c \ub2e4\ub8e8\uace0\uc790 \ud569\ub2c8\ub2e4. \uadf8\ub798\ud504\uc758 \uac01 \ub178\ub4dc\ub294 \uc791\uc5c5\uc744 \uc758\ubbf8\ud558\uba70, \uc5e3\uc2a4\ub294 \uc791\uc5c5 \uac04\uc758 \uc120\ud6c4 \uad00\uacc4\ub97c \uc758\ubbf8\ud569\ub2c8\ub2e4. \uc6b0\ub9ac\uac00 \uad6c\ud574\uc57c \ud560 \uac83\uc740 \uc804\uccb4 \uc791\uc5c5\uc744 \uc644\ub8cc\ud558\uae30 \uc704\ud55c \ucd5c\uc18c \uc18c\uc694 \uc2dc\uac04\uc744 \uacc4\uc0b0\ud558\ub294 \uac83\uc785\ub2c8\ub2e4.<\/p>\n

\ubb38\uc81c \uc124\uba85<\/h3>\n
\n\uc785\ub825:\n- n (1 \u2264 n \u2264 100): \uc791\uc5c5\uc758 \uc218\n- edges: \uac01 \uc791\uc5c5 \uac04\uc758 \uc758\uc874 \uad00\uacc4\ub97c \ub098\ud0c0\ub0b4\ub294 \ub9ac\uc2a4\ud2b8\ub85c, \uac01 \uc694\uc18c\ub294 \ud29c\ud50c (u, v, w)\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba70,\n  \uc5ec\uae30\uc11c u\ub294 \uc791\uc5c5\uc758 \uc2dc\uc791 \ub178\ub4dc, v\ub294 \uc791\uc5c5\uc758 \ub05d \ub178\ub4dc, w\ub294 \uc791\uc5c5\uc744 \uc644\ub8cc\ud558\ub294\ub370 \ud544\uc694\ud55c \uc2dc\uac04\n\n\ucd9c\ub825:\n- \uc804\uccb4 \uc791\uc5c5\uc744 \uc644\ub8cc\ud558\ub294\ub370 \uac78\ub9ac\ub294 \uac00\uc7a5 \uae34 \uc2dc\uac04 (\uc784\uacc4 \uacbd\ub85c\uc758 \uae38\uc774)\n<\/pre>\n
\uc608\uc81c \uc785\ub825<\/h3>\n
\nn = 5\nedges = [\n    (1, 2, 3),\n    (1, 3, 2),\n    (2, 4, 4),\n    (3, 4, 5),\n    (4, 5, 1)\n]\n<\/pre>\n
\uc608\uc81c \ucd9c\ub825<\/h3>\n
\n8\n<\/pre>\n
\ubb38\uc81c \ud480\uc774 \ubc0f \uc811\uadfc \ubc29\ubc95<\/h2>\n
\uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud574\uc11c\ub294 \ub2e4\uc74c\uacfc \uac19\uc740 \ub2e8\uacc4\ub97c \ub530\ub77c\uc11c \uad6c\ud604\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n
1. \ubc29\ud5a5 \uadf8\ub798\ud504 \ud45c\ud604<\/h3>\n
\uc6b0\uc120 \uc785\ub825 \ubc1b\uc740 \uc5e3\uc9c0 \uc815\ubcf4\ub97c \ubc14\ud0d5\uc73c\ub85c \uadf8\ub798\ud504\ub97c \uad6c\uc870\ud654\ud574\uc57c \ud569\ub2c8\ub2e4. \uc774\ub97c \uc704\ud574, \uc778\uc811 \ub9ac\uc2a4\ud2b8 \ud615\ud0dc\ub85c \uadf8\ub798\ud504\ub97c \uad6c\uc131\ud558\uaca0\uc2b5\ub2c8\ub2e4. \ub610\ud55c \uac01 \uc791\uc5c5\uc758 \uc644\ub8cc \uc2dc\uac04\uc744 \uc800\uc7a5\ud558\uae30 \uc704\ud55c \ubc30\uc5f4\uc744 \uc900\ube44\ud569\ub2c8\ub2e4.<\/p>\n
from collections import defaultdict\nimport sys\n\ndef critical_path(n, edges):\n    graph = defaultdict(list)\n    in_degree = [0] * (n + 1)\n    completion_time = [0] * (n + 1)\n\n    # \uadf8\ub798\ud504 \uad6c\uc131 \ubc0f \uc9c4\uc785 \ucc28\uc218 \uacc4\uc0b0\n    for u, v, w in edges:\n        graph[u].append((v, w))\n        in_degree[v] += 1\n<\/code><\/pre>\n
2. \uc704\uc0c1 \uc815\ub82c<\/h3>\n
\ub2e4\uc74c \ub2e8\uacc4\ub294 \uadf8\ub798\ud504\uc758 \uc704\uc0c1 \uc815\ub82c\uc744 \uc218\ud589\ud558\uc5ec \ubaa8\ub4e0 \uc791\uc5c5\uc744 \uc548\uc804\ud558\uac8c \ucc98\ub9ac\ud560 \uc218 \uc788\ub3c4\ub85d \ud558\ub294 \uac83\uc785\ub2c8\ub2e4. \uc704\uc0c1 \uc815\ub82c\uc744 \ud1b5\ud574 \uac01 \uc791\uc5c5\uc774 \uc644\ub8cc\ub418\ub294 \uc21c\uc11c\ub97c \uc815\ud560 \uc218 \uc788\uc73c\uba70, \uc791\uc5c5\uc758 \uc758\uc874\uc131\uc744 \uace0\ub824\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\n
    # \uc704\uc0c1 \uc815\ub82c \uc218\ud589\n    zero_degree_queue = []\n    for i in range(1, n + 1):\n        if in_degree[i] == 0:\n            zero_degree_queue.append(i)\n    \n    topo_order = []\n    while zero_degree_queue:\n        node = zero_degree_queue.pop(0)\n        topo_order.append(node)\n        for neighbor, duration in graph[node]:\n            in_degree[neighbor] -= 1\n            if in_degree[neighbor] == 0:\n                zero_degree_queue.append(neighbor)\n<\/code><\/pre>\n
3. \ucd5c\uc18c \uc18c\uc694 \uc2dc\uac04 \uacc4\uc0b0<\/h3>\n
\uc774\uc81c \uc704\uc0c1 \uc815\ub82c\ub41c \uc21c\uc11c\ub300\ub85c \uac01 \uc791\uc5c5\uc758 \uc644\ub8cc \uc2dc\uac04\uc744 \uacc4\uc0b0\ud569\ub2c8\ub2e4. \uac01 \uc791\uc5c5\uc744 \uc218\ud589\ud560 \ub54c\ub9c8\ub2e4, \ud574\ub2f9 \uc791\uc5c5\uc5d0 \uc5f0\uacb0\ub41c \ubaa8\ub4e0 \ub178\ub4dc\uc758 \uc644\ub8cc \uc2dc\uac04\uc744 \uac31\uc2e0\ud558\uac8c \ub429\ub2c8\ub2e4. \uc774\ub97c \ud1b5\ud574 \uac01 \uc791\uc5c5\uae4c\uc9c0\uc758 \uc18c\uc694 \uc2dc\uac04\uc744 \uc800\uc7a5\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n
    for node in topo_order:\n        for neighbor, duration in graph[node]:\n            completion_time[neighbor] = max(completion_time[neighbor], completion_time[node] + duration)\n\n    # \uc804\uccb4 \uc791\uc5c5 \uc644\ub8cc\ud558\ub294\ub370 \uac78\ub9ac\ub294 \ucd5c\ub300 \uc2dc\uac04\n    return max(completion_time)\n<\/code><\/pre>\n
4. \uc804\uccb4 \ucf54\ub4dc \uc791\uc131<\/h3>\n
\ubaa8\ub4e0 \ub2e8\uacc4\ub97c \ud1b5\ud569\ud558\uc5ec \ucd5c\uc885 \ucf54\ub4dc\ub97c \uc791\uc131\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
def critical_path(n, edges):\n    graph = defaultdict(list)\n    in_degree = [0] * (n + 1)\n    completion_time = [0] * (n + 1)\n\n    # \uadf8\ub798\ud504 \uad6c\uc131 \ubc0f \uc9c4\uc785 \ucc28\uc218 \uacc4\uc0b0\n    for u, v, w in edges:\n        graph[u].append((v, w))\n        in_degree[v] += 1\n\n    # \uc704\uc0c1 \uc815\ub82c \uc218\ud589\n    zero_degree_queue = []\n    for i in range(1, n + 1):\n        if in_degree[i] == 0:\n            zero_degree_queue.append(i)\n    \n    topo_order = []\n    while zero_degree_queue:\n        node = zero_degree_queue.pop(0)\n        topo_order.append(node)\n        for neighbor, duration in graph[node]:\n            in_degree[neighbor] -= 1\n            if in_degree[neighbor] == 0:\n                zero_degree_queue.append(neighbor)\n\n    # \uac01 \uc791\uc5c5\uc758 \uc644\ub8cc \uc2dc\uac04 \uacc4\uc0b0\n    for node in topo_order:\n        for neighbor, duration in graph[node]:\n            completion_time[neighbor] = max(completion_time[neighbor], completion_time[node] + duration)\n\n    # \uc804\uccb4 \uc791\uc5c5 \uc644\ub8cc\ud558\ub294\ub370 \uac78\ub9ac\ub294 \ucd5c\ub300 \uc2dc\uac04\n    return max(completion_time)\n\n# \uc608\uc81c \uc2e4\ud589\nif __name__ == \"__main__\":\n    n = 5\n    edges = [\n        (1, 2, 3),\n        (1, 3, 2),\n        (2, 4, 4),\n        (3, 4, 5),\n        (4, 5, 1)\n    ]\n    result = critical_path(n, edges)\n    print(\"\uc784\uacc4 \uacbd\ub85c\uc758 \uae38\uc774:\", result)\n<\/code><\/pre>\n
\uacb0\ub860<\/h2>\n
\uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 \uc784\uacc4 \uacbd\ub85c\ub97c \uad6c\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \uadf8\ub798\ud504 \uc774\ub860\uacfc \uc704\uc0c1 \uc815\ub82c\uc744 \ud1b5\ud574 \uac01\uac01\uc758 \uc791\uc5c5\uc744 \uc548\uc804\ud558\uac8c \ucc98\ub9ac\ud558\uace0, \uac01 \uc791\uc5c5\uc758 \uc18c\uc694 \uc2dc\uac04\uc744 \uacc4\uc0b0\ud558\uc5ec \uc784\uacc4 \uacbd\ub85c\ub97c \ub3c4\ucd9c\ud558\ub294 \ubc29\uc2dd\uc73c\ub85c \ubb38\uc81c\ub97c \ud574\uacb0\ud588\uc2b5\ub2c8\ub2e4. \uc774\ub7ec\ud55c \uc811\uadfc\ubc95\uc740 \uacb0\uacfc\uc801\uc73c\ub85c \ub2e4\uc591\ud55c \ud504\ub85c\uc81d\ud2b8 \uad00\ub9ac \ubc0f \uc2a4\ucf00\uc904\ub9c1 \ubb38\uc81c\uc5d0 \uc801\uc6a9\ub420 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n
\ub354\ubd88\uc5b4 \uc2e4\ubb34\uc5d0\uc11c\ub3c4 \uc774\ub7ec\ud55c \uc54c\uace0\ub9ac\uc998\uc740 \ubcf5\uc7a1\ud55c \ud504\ub85c\uc81d\ud2b8 \uad00\ub9ac\uc758 \uae30\ucd08\ub85c, \ud6a8\uc728\uc131\uc744 \ub192\uc774\ub294 \ub370\uc5d0 \ud070 \ub3c4\uc6c0\uc744 \uc904 \uac83\uc785\ub2c8\ub2e4. \uc55e\uc73c\ub85c\ub3c4 \ub2e4\uc591\ud55c \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub97c \ub2e4\ub8e8\uba74\uc11c \ud504\ub85c\uadf8\ub798\ubc0d \uc2e4\ub825\uc744 \ud0a4\uc6cc\ub098\uac00\uae38 \ubc14\ub78d\ub2c8\ub2e4.<\/p>\n
<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"
\ubcf8 \uac15\uc88c\uc5d0\uc11c\ub294 \uc784\uacc4 \uacbd\ub85c \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud55c \uc54c\uace0\ub9ac\uc998\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc784\uacc4 \uacbd\ub85c(Critical Path)\ub294 \ud504\ub85c\uc81d\ud2b8 \uad00\ub9ac\uc5d0\uc11c \uac01 \uc791\uc5c5\uc758 \uc2dc\uc791 \ubc0f \uc644\ub8cc \uc2dc\uc810\uc744 \ubcf4\uc5ec\uc8fc\ub294 \uac83\uc73c\ub85c, \uc804\uccb4 \ud504\ub85c\uc81d\ud2b8\ub97c \uc644\ub8cc\ud558\ub294 \ub370 \uac00\uc7a5 \uae38\uac8c \uac78\ub9ac\ub294 \uacbd\ub85c\ub97c \uc758\ubbf8\ud569\ub2c8\ub2e4. \uc5d4\uc9c0\ub2c8\uc5b4\ub9c1 \ubc0f \uc18c\ud504\ud2b8\uc6e8\uc5b4 \ud504\ub85c\uc81d\ud2b8\uc5d0\uc11c \ub9e4\uc6b0 \uc911\uc694\ud55c \uac1c\ub150\uc774\uba70, \uc2e4\uc81c \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c\ub3c4 \uc790\uc8fc \ucd9c\uc81c\ub418\ub294 \uc8fc\uc81c \uc911 \ud558\ub098\uc785\ub2c8\ub2e4. \ubb38\uc81c \uc815\uc758 \ub2e4\uc74c\uacfc \uac19\uc740 \uad6c\uc870\uc758 \ubc29\ud5a5 \uadf8\ub798\ud504\uac00 \uc8fc\uc5b4\uc9c8 … \ub354 \ubcf4\uae30 “\ud30c\uc774\uc36c \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc784\uacc4 \uacbd\ub85c \uad6c\ud558\uae30”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[23],"tags":[],"class_list":["post-27158","post","type-post","status-publish","format-standard","hentry","category-23"],"yoast_head":"\n\ud30c\uc774\uc36c \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc784\uacc4 \uacbd\ub85c \uad6c\ud558\uae30 - 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